Advertisements
Advertisements
प्रश्न
Two bicycles are sold for the same price, gaining 20% on one and losing 20% on the other. Find the cost price of each bicycle, if Rs.180 is lost in the whole transaction.
Advertisements
उत्तर
Let the S.P. of both the cycles be Rs. x each.
For the first cycle,
Profit = 20%
`"S.P."/"C.P." = 1 + "Profit"/(100)`
⇒ `x/"C.P." = 1 + (20)/(100)`
⇒ `x/"C.P." = (100 + 20)/(100)`
⇒ C.P. = `(100)/(120) x`
= `(5)/(6)x`
Profit
= S.P. - C.P.
= `x - (5)/(6) x`
= `((6 - 5)/(6))x`
= `x/(6)`
For the second cycle,
Loss = 20%
`"S.P."/"C.P." = 1 - "Loss"/(100)`
⇒ `x/"C.P." = 1 - (20)/(100)`
⇒ `x/"C.P." = (100 - 20)/(100)`
⇒ C.P. = `(100)/(80) x`
= `(5)/(4)x`
Loss
= C.P. - S.P.
= `(5)/(4)x - x`
= `((5- 4)/(5))x`
= `x/(5)`
Given, total loss = Rs.180
⇒ `x/(4) - x/(6)` = 180
⇒ `(2x)/(24)` = 180
⇒ x = 12 x 180
= 2160
∴ C.P. of first bicycle
= `(5)/(6)x`
= `(5)/(6)` X Rs.2160
= Rs.1800
∴ C.P. of second bicycle
= `(5)/(4)x`
= `(5)/(4)` x Rs.2160
= Rs.2700.
APPEARS IN
संबंधित प्रश्न
Mohit sold a T.V. for Rs. 3,600; gaining one-sixth of its selling price. Find :
(i) the gain
(ii) the cost price of the T.V.
(iii) the gain percent.
By selling a certain number of goods for Rs. 5,500; a shopkeeper loses equal to one-tenth of their selling price. Find:
- the loss incurred
- the cost price of the goods
- the loss as a percent.
A man sold his bicycle for Rs.405 losing one-tenth of its cost price, find :
(i) its cost price;
(ii) the loss percent.
Find the cost price, if :
S.P. = Rs. 1,680 and profit = 12%
Find the cost price, if :
S.P. = Rs. 1,128 and loss = 6%
Renu sold an article at a loss of 8 percent. Had she bought it at 10% less and sold for Rs.36 more; she would have gained 20%. Find the cost price of the article.
A briefcase was sold at a profit of 10%. If its cost price was 5% less and it was sold for Rs.120 more, the gain would have been 20%. Find the cost price of the briefcase.
A shirt was sold for Rs.1265 at a gain of 15%. Had the selling price been Rs.55 more, the gain would have been 20%. Find the cost price of the shirt.
A man buys two cycles for a total cost of Rs.8000. By selling one cycle at a loss of 20% and the other at a profit of 30%, he makes a profit of Rs.650 on the whole transaction. Find the cost price of each cycle.
A bought a cycle and spent Rs.110 on its repair. He then sold it to B at 20% profit. B sold it to C at 10% loss. C sold it for Rs.1188 at 10% profit. How much did A pay for the article?
